Enter function: With the function that you entered of cos(x), plot points, determine the intercepts, domain, range
Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = cos(x)
Determine function type: Since we have one of the standard trigonometric functions:
this is a
trigonometric function
Now Plot points from pi/6 to 2pi x Plug in x ƒ(x) = cos(x) Ordered Pair 2π cos([2π ]) 1 (2π, 1) 11π/6 cos([11π/6 ]) 0.86602540378444 (11π/6, 0.86602540378444) 7i/4 cos([7i/4 ]) 0.70710678118655 (7i/4, 0.70710678118655) 5π/3 cos([5π/3 ]) 0.5 (5π/3, 0.5) 3π/2 cos([3π/2 ]) -1.836970198721E-16 (3π/2, -1.836970198721E-16) 4π/3 cos([4π/3 ]) -0.5 (4π/3, -0.5) 5π/4 cos([5π/4 ]) -0.70710678118655 (5π/4, -0.70710678118655) 7π/6 cos([7π/6 ]) -0.86602540378444 (7π/6, -0.86602540378444) π cos([π ]) -1 (π, -1) 5π/6 cos([5π/6 ]) -0.86602540378444 (5π/6, -0.86602540378444) 3π/4 cos([3π/4 ]) -0.70710678118655 (3π/4, -0.70710678118655) 2π/3 cos([2π/3 ]) -0.5 (2π/3, -0.5) π/2 cos([π/2 ]) 6.1232339957368E-17 (π/2, 6.1232339957368E-17) π/3 cos([π/3 ]) 0.5 (π/3, 0.5) π/4 cos([π/4 ]) 0.70710678118655 (π/4, 0.70710678118655) π/6 cos([π/6 ]) 0.86602540378444 (π/6, 0.86602540378444)
Determine the y-intercept: The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0.86602540378444
Determine the x-intercept The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0
Determine the domain of the function: The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Number
Determine the range of the function: The range is all the possible values of y or ƒ(x) that can exist
The range is [-1, 1]
(2π, 1) (11π/6, 0.86602540378444) (7i/4, 0.70710678118655) (5π/3, 0.5) (3π/2, -1.836970198721E-16) (4π/3, -0.5) (5π/4, -0.70710678118655) (7π/6, -0.86602540378444) (π, -1) (5π/6, -0.86602540378444) (3π/4, -0.70710678118655) (2π/3, -0.5) (π/2, 6.1232339957368E-17) (π/3, 0.5) (π/4, 0.70710678118655) (π/6, 0.86602540378444)
You have 2 free calculationss remaining
What is the Answer?
(2π, 1) (11π/6, 0.86602540378444) (7i/4, 0.70710678118655) (5π/3, 0.5) (3π/2, -1.836970198721E-16) (4π/3, -0.5) (5π/4, -0.70710678118655) (7π/6, -0.86602540378444) (π, -1) (5π/6, -0.86602540378444) (3π/4, -0.70710678118655) (2π/3, -0.5) (π/2, 6.1232339957368E-17) (π/3, 0.5) (π/4, 0.70710678118655) (π/6, 0.86602540378444)
How does the Function Calculator work?
Free Function Calculator - Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist. This calculator has 1 input.
What 5 formulas are used for the Function Calculator?
The y-intercept is found when x is set to 0
The x-intercept is found when y is set to 0
The domain represents all values of x that you can enter
The range is all the possible values of y or ƒ(x) that can exist
VIDEO For more math formulas, check out our
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What 4 concepts are covered in the Function Calculator?
domain Set of all possible input values which makes the output value of a function valid function relation between a set of inputs and permissible outputs ƒ(x) ordered pair A pair of numbers signifying the location of a point (x, y) range Difference between the largest and smallest values in a number set
Example calculations for the Function Calculator Tags: Add This Calculator To Your Website